Printable · GCSE Higher · ages 14-16
Number worksheet — GCSE Higher
Fifteen questions across the number statements at Higher tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Number worksheet — GCSE Higher
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- 1.Work out 100 − 4 × 5²
- 2.Simplify (y³)⁴, giving your answer as a single power of y.
- 3.The number 72 can be written as 2³ × 3², and the number 108 can be written as 2² × 3³. Work out the highest common factor of 72 and 108.
- 4.Work out √144 − 2 × 3 + √25
- 5.A shop buys boxes of pens for £4 each. It sells each box on to a school for £3 more than it paid, and charges an extra £2 delivery fee for the whole order. A school orders 5 boxes. Work out the total cost of the order.
- 6.Work out the value of .
- 7.Work out an estimate for 2.9² + 3.1², by rounding each number to the nearest whole number.
- 8.Write these numbers in order, starting with the largest: 7/8, 0.8, 78%, 17/20
- 9.Write down the exact decimal value of the fraction 1/6.
- 10.A roll of ribbon is 8.4 m long. Ribbon is cut into pieces that are each 0.6 m long. Work out how many complete pieces can be cut from the roll.
- 11.In a youth club the number of girls is 2/3 of the number of boys. What fraction of the members of the club are girls?
- 12.Work out (−2)² − 3
- 13.A triangle has a base of 8 cm and a perpendicular height of 5 cm, each correct to the nearest centimetre. Work out the upper bound of the area.
- 14.Which of these statements about −0.7 and −0.25 is true?
- 15.Given that 4³ = 64 and 5³ = 125, estimate ∛100 to 1 decimal place.
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